Microscopic Derivation of the Policy Distortion Factor
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| Formato: | Recurso digital |
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2026
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| _version_ | 1866901756744564736 |
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| author | Councilman, J. |
| author_facet | Councilman, J. |
| contents | Derives the policy distortion factor Φ of the three-factor sparse law from first principles via a competing-risk argument at each myopic routing decision. When inter-contact times follow a Pareto survival law with α < 1, the hazard function yields a scale-free balance between link commitment and contact rescue. The resulting closed form Φ = exp[−γ·E[H]·λ/(1+α·p_eff)] is a Lorentzian attenuation — a single-pole response function encoding the competition geometry. Validated on four CRAWDAD human-mobility traces (~47,000 configurations) with R² = 0.941. The running-coupling analysis reveals the Lorentzian acts as a resolvent: the asymptotic tail sector dominates the commitment integral while the body and hump of the inter-contact distribution renormalize the residuals. |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18892417 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Microscopic Derivation of the Policy Distortion Factor Councilman, J. delay-tolerant networking sparse law policy distortion factor competing risk Pareto inter-contact times Lorentzian response CRAWDAD temporal networks Derives the policy distortion factor Φ of the three-factor sparse law from first principles via a competing-risk argument at each myopic routing decision. When inter-contact times follow a Pareto survival law with α < 1, the hazard function yields a scale-free balance between link commitment and contact rescue. The resulting closed form Φ = exp[−γ·E[H]·λ/(1+α·p_eff)] is a Lorentzian attenuation — a single-pole response function encoding the competition geometry. Validated on four CRAWDAD human-mobility traces (~47,000 configurations) with R² = 0.941. The running-coupling analysis reveals the Lorentzian acts as a resolvent: the asymptotic tail sector dominates the commitment integral while the body and hump of the inter-contact distribution renormalize the residuals. |
| title | Microscopic Derivation of the Policy Distortion Factor |
| topic | delay-tolerant networking sparse law policy distortion factor competing risk Pareto inter-contact times Lorentzian response CRAWDAD temporal networks |
| url | https://doi.org/10.5281/zenodo.18892417 |